Math 271 Calculus 3    Fall 2007
 
Instructor:  Dr. M.  Reese
Office:  Eggleston 105
Phone:  455-8752
e-mail:  mreese@vwc.edu
Office hours: TBA
 
Dates to remember: 
Holidays
September 3, October 12, and November 21-23
Tests
September 26, October 24, and November 30
Final
Monday, December 10, 11:30-2pm
Last day to drop
October 29
 
Course description:  Calculus is a collection of techniques for modeling and understanding relationships between changing quantities.  In this course, we consider differential equations, the calculus of parametric curves and polar coordinates, and the theory of infinite summation.
 
Goals:
• Modeling with differential equations
• Ability to understand a variety of graphing techniques
• Ability to use various proof techniques in infinite series
• Awareness of the history of the calculus
  
Required Text:  Calculus: Early Transcendentals Single Variable, 5e, by James Stewart
 
Other requirements:  Graphing calculator.
 
Estimated Workload:  Three to six hours per week outside class preparing for class and working on exercise sets or preparing for tests.
 
Attendance policy:  Attendance is required.  Absence will be excused only at the discretion of the instructor; a maximum of 3 absences will be excused without good reason. 
 
Grading:
Problem sets                             15%
Tests (3 in-class)                60%
Final                                         25%
 
Scale:  A (90-100), B(80-89), C(70-79), D(60-69), F(below 60)
 
Problem sets:  A problem set is due every class meeting except for review and test days. Assignments are attached. 
Tests: Tests will include homework-like problems, “short-answer” questions, and demonstrations of theory discussed in class.
Final exam:  The exam will be comprehensive.
 
 
 
Accommodations for students with special needs: The standard procedures for meeting the responsibilities associated with this course can be modified for students with certain disabilities. To qualify for such accommodations, a student must provide the college with appropriate professional documentation that confirms the presence of the disability. To begin the confirmation process or for further information about it, contact our coordinator of disability services, Fayne Pearson, at 455-3246.  
 
The instructor reserves the right to change this syllabus.
 
 
BRING YOUR BOOK and CALCULATOR TO CLASS EVERY DAY
 

Mondays

Wednesdays

Fridays

Aug 27

Welcome, policies

Aug 29

Modeling with DEs (9.1)

Aug 31   Direction fields and Euler’s method (9.2)

Sept 3

Holiday

Sept 5  Direction fields and Euler’s method (9.2)

Sept 7

Separable Des (9.3)

Sept 10 Exponential growth & decay (9.4)

Sept 12  Exponential growth & decay (9.4)

Sept 14

Logistic DE (9.5)

Sept 17

Linear DEs (9.6)

Sept 19

Linear DEs (9.6)

Sept 21

Predator-prey model (9.7)

Sept 24

Prepare for test

Sept 26      

Test 1 (Chapter 9)

Sept 28

Parametric equations (10.1)

Oct 1

Parametric curves (10.1,2)

Oct 3 Calculus  with parametric curves (10.2)

Oct 5

Polar Coordinates (10.3)

Oct 8

Polar Coordiantes (10.3)

Oct 10  Calculus with polar coordinates (10.4)

Oct 12

Fall Break

Oct 15 Calculus with polar coordinates (10.4)

Oct 17

Conic sections (10.5)

Oct 19

Prepare for test

Oct 22

Prepare for test

Oct 24

Test 2 (Chapter 10)

Oct 26

Sequences (11.1)

Oct 29

Series (11.2)

Oct 31

 Integral test (11.3)

Nov 2

Comparison tests (11.4)

Nov 5

Alternating series (11.5)

Nov 7

Ratio and root tests (11.6)

Nov 9

Power series (11.8)

Nov 12 Power series representation (11.9)

Nov 14

Taylor series  (11.10)

Nov 16

Taylor series  (11.10)

Nov 19

Binomial series (11.11)

Nov 21

Thanksgiving

Nov 23

Break

Nov 26

Taylor series  (11.12)

Nov 28

Prepare for test

Nov 30

Test 3 (Chapter 11)

Dec 3

Prepare for final

Dec 5

Prepare for final

Dec 7 (Last day)

Prepare for final

 
 
 
 
 
Problem sets from Stewart
 

Section

Assignment

9.1

#1,3,5,7,11

9.2

#1,5,11,15,19

9.3

#1,5,11,39,41

9.4

#3,5,9,11,21

9.5

#1,5,9,13,15

9.6

#1-4, 5,11,15,34

9.7

#1,3,5,8,9

10.1

#1,3,5,11,24,31,32

10.2

#1,5,9,11,17,26,45,48,74

10.3

#1-4,7,17,25,31,35,39,47

10.4

#1,5,8,11,19,23,31

10.5

#1,5,7,15,17,19,49,51

11.1

#9,13,17,21,25,31,37,43,61,65

11.2

#7,9,11,17,23,31,35,41,68

11.3

#3,7,19,21,31

11.4

#3,9,15,17,19,29,33,37

11.5

#3,13,15,19,21,23,36

11.6

#3,9,15,29,31

11.8

#3,13,17,29,30

11.9

#3,9,13,14,35

11.10

#2,3,13,23,31,35,47,55,59

11.11

#1,3,7,11,17

11.12

#3,13,29,31,33